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Finding the Fourth Proportional to 971,032, 1,456,548 and 306,184

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Solution

The fourth proportional to 971,032, 1,456,548 and 306,184 is: 459,276

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,032 : 1,456,548 = 306,184 : x
  2. Step 2: Convert to fraction form
    971,032/1,456,548 = 306,184/x
  3. Step 3: Cross multiply
    971,032x = 1,456,548 × 306,184
  4. Step 4: Simplify right side
    971,032x = 445,971,692,832
  5. Step 5: Solve for x
    x = 445,971,692,832/971,032
  6. Step 6: Final answer
    x = 459,276

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.